Difference between revisions of "Function Conjunction"
From S.H.O.
(→The Anatomy of an Electromagnetic Expression) |
(→Magnetic vector potential A) |
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===Magnetic vector potential <math>A</math>=== | ===Magnetic vector potential <math>A</math>=== | ||
− | ''<math>\mathbf{A}</math> of a moving point charge <math>q</math>'': | + | ''<math>\mathbf{A}</math> of a moving point charge <math>q'</math>'': |
− | <math>\mathbf{A}\left(\mathbf{r},\mathbf{r'},\mathbf{v}\right) = \underset{constant}{\frac{\mu_0\ q}{4\pi}} \times \underset{proximity}{\frac{1}{|\mathbf{r}-\mathbf{r'}|}} \times \underset{dislocation}{\mathbf{v}}</math> | + | <math>\mathbf{A}\left(\mathbf{r},\mathbf{r'},\mathbf{v}\right) = \underset{constant}{\frac{q'}{4\pi\ \epsilon}} \times \underset{proximity}{\frac{1}{|\mathbf{r}-\mathbf{r'}|}} \times \underset{dislocation}{\mathbf{v}/c^2} = \underset{constant}{\frac{\mu_0\ q'}{4\pi}} \times \underset{proximity}{\frac{1}{|\mathbf{r}-\mathbf{r'}|}} \times \underset{dislocation}{\mathbf{v}}</math> |
Revision as of 12:32, 21 April 2016
Contents
The Anatomy of an Physical Expression
Constant | Coefficient | Quantity | Proximity | Dislocation | Direction |
---|---|---|---|---|---|
Examples: |
Examples: |
Examples: |
Examples: |
Examples: |
Examples: |
Constants
- = Magnetic Permeability of Free Space
- = Electric Permittivity of Free Space
- = Boltzmann's constant
- = Fine Structure Constant
- = Speed of Light
Quantities
- = point charge
- = linear charge density (for continuous charge)
- = surface charge density (for continuous charge)
- = volume charge density (for continuous charge)
- = mass
- = volume mass density
Dislocations
- = position of a charge at time , when it receives a light signal from that was emitted earlier at time
- = velocity of a charge at time , when it receives a light signal from that was emitted earlier at time
- = acceleration of a charge at time , when it receives a light signal from that was emitted earlier at time
- = position a charge was at the retarded time , when it emitted a light signal which has now reached at position and time
- = velocity a charge was at the retarded time , when it emitted a light signal which has now reached at position and time
- = acceleration a charge was at the retarded time , when it emitted a light signal which has now reached at position and time
Functions Composed of Physical Expressions
Electric scalar potential
of a point charge :
Magnetic vector potential
of a moving point charge :